2121182235648 has 440 divisors, whose sum is σ = 7472744530944. Its totient is φ = 586497024000.

The previous prime is 2121182235637. The next prime is 2121182235691. The reversal of 2121182235648 is 8465322811212.

2121182235648 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 1 + 82 + 2 + 3 + 564 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17939923 + ... + 18057773.

Almost surely, 2^{2121182235648} is an apocalyptic number.

2121182235648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121182235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736372265472).

2121182235648 is an abundant number, since it is smaller than the sum of its proper divisors (5351562295296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121182235648 is a wasteful number, since it uses less digits than its factorization.

2121182235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117921 (or 117894 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 2121182235648 in words is "two trillion, one hundred twenty-one billion, one hundred eighty-two million, two hundred thirty-five thousand, six hundred forty-eight".